Good idea to get a front rest/rear bag setup. Probably the best thing you can do to improve accuracy off the bench. I friend of mine has a very high end (and expensive) Sinclair rest with a high end rear bag. I have a cheap but quite adequate Caldwell rest and one of their rear bags. The Sinclair if fun to shoot off of with all the nice/fancy/smooth adjustments and such but the Caldwell is fine with just up and down and wins the bang for the buck contest. I've been able to shoot a some 1/4 MOA groups with that setup and I almost never break a bad shot- maybe once out of 50.
Most important thing is how the rifle rides on the rest, just like on the bags. It needs to SLIDE with the shot. Meet a couple of champion 600 and 1000 yard benchrest shooters. One of the most important things are their front and rear rest. Some have custom rests with special leather. All tailored to allow consistent slide from shot to shot.
I should probably qualify what I said about the Caldwell rest. I am not a bench rest shooter. I just want to take me out of the equation as much as I can to see what the rifle/load is doing. Once I get a good load, I go hunting. Were I into competitive shooting I probably would go for a high end rest. I have the Rock by Caldwell. Don't go cheaper than that model as they get too light. The Rock has spiked feet to hold it in place, has rubber feet to put under the spikes if needed, has an up/down wheel and a rod to indicate where the rifle goes back to for precise placement after every shot. I don't need more than those features for what I'm doing with it.
The rifle slides on the rest front and rear. The rests themselves are stationary. The thing they are trying to avoid is the newbie error of having a rear sling stud setting in the rear bag causing inconsistent recoil movement of the rifle. That is an extreme example though.
Like Engineering101, I use a Caldwell front rest cause I am foremost a hunter. I do shoot with some LR competitive benchrest folks in a relaxed environment though. Just passing on some tips they give me.